Let f(x, y) = ax + bx + cy + xy. Find non-zero values of a, b and c so that (1, 1) is a saddle point of f. Clearly show your work of finding a, b and c. Then, check your work by starting with the function with your values of a, b and c plugged in and show (1, 1) is a saddle point.

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A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

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A: f(x,y)=sqrt(125-3x2-2y2)Find f(0,3)

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A: l(x)=f(a)+f'(a)

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A: A detailed solution is given below.

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